Math
Today we reviewed how to estimate distances from related distances. Some students understood how to use the distance of 3 steps to get the approximate distance of 10 steps. These strategies have been posted on the blog. There are several ways to do this, as long as your reasoning makes sense, then your estimate is correct.
Math test tomorrow. Example questions (grade 4 thousands, grade 5 ten-thousands):
1. Find 3 ways to make this number sentence true. Explain your thinking. ■295 > 15■4
2.
Broadway show Number of performances
Chicago 1891
Grease 3388
Cats 7485
Beauty and the Beast 2887
The Phantom of the Opera 5566
a) Which shows had performances between 2000 and 4000? Show them on a number line.
b) Put the performances in order from greatest to least.
c) Round each performance to the nearest 1000, 100 and 10
3. A giant squid weighed 2946 kg. How much did it weigh to the nearest thousand kilograms, nearest hundred kilograms, and nearest ten kilograms?
4.
Great Lake Total area (km2)
Ontario 18 960
Superior 82 100
Erie 25 700
Huron 59 600
Michigan 57 800
a) Write the areas of the lakes in order from least to greatest.
b) Which great lakes round to 60 000 km2? Use a number line to show why.
c) Which lake has the greatest area? Which lake ha s the smallest area?
5. The diameter of Earth is 12 756 km. Round the number to the nearest ten thousand, nearest thousand, and nearest hundred. Use a number line.
6. A number can be rounded to 30000, 32 000, and 31900. What is the least number it could be? What is the greatest?
7. There are 36 114 km of railroad track in Canada and 33 819 km in Australia. Which country has more kilometres of railroad track? Explain how you know.
8. Suppose you wanted to estimate the number of blueberries in 12 cartons.
a)Describe how you would solve the problem.
b)List the assumptions you would make.
c)Why is estimating a good way to solve this problem?
9a) Create three numbers
for these conditions:
• Each number is about 4500.
• Each number has the
digits 8 and 5.
b) For one of your numbers, tell why you put the
digits 8 and 5 where you did.
10. The attendance at some Super Bowl games from 2013 to 2017 are listed below:
70 807
71 088
70 288
82 529
71 024
(Source: The Football Database: Super Bowl History)
The attendance in 2014 was the highest of the five years.
The attendance in 2015 was the lowest.
The attendance in 2016 was a little higher than in 2013.
Which attendance goes with which year? Explain how you know.
I have put this question one before, but I like it.... hint, hint.
11. You need to estimate about how many hoverboards a store would have to sell to earn about $100 000.
a)
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What assumptions would you have to make?
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b)
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What is your solution to the problem if each hoverboard costs $180.
I won't post anything else. Please study for the test using the above questions and information on the yellow pages of your MathUP duotang.
Reminders
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